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2340140760 = 233352166797
BaseRepresentation
bin1000101101111011…
…1011011011011000
320001002101110122000
42023132323123120
514243034001020
61024113201000
7111663603546
oct21336733330
96032343560
102340140760
11aa0a48431
12553860160
132b3a8aa99
14182b1ad96
15da6a0090
hex8b7bb6d8

2340140760 has 64 divisors (see below), whose sum is σ = 7800472800. Its totient is φ = 624037248.

The previous prime is 2340140753. The next prime is 2340140767. The reversal of 2340140760 is 670410432.

It is an interprime number because it is at equal distance from previous prime (2340140753) and next prime (2340140767).

It is a super-2 number, since 2×23401407602 = 10952517553226755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340140767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082319 + ... + 1084478.

Almost surely, 22340140760 is an apocalyptic number.

2340140760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340140760 is an abundant number, since it is smaller than the sum of its proper divisors (5460332040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2340140760 is a wasteful number, since it uses less digits than its factorization.

2340140760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166817 (or 2166807 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2340140760 is about 48375.0013953488. The cubic root of 2340140760 is about 1327.6410140987.

It can be divided in two parts, 2340140 and 760, that added together give a square (2340900 = 15302).

The spelling of 2340140760 in words is "two billion, three hundred forty million, one hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2166797 4333594 6500391 8667188 10833985 13000782 17334376 19501173 21667970 26001564 32501955 39002346 43335940 52003128 58503519 65003910 78004692 86671880 97505865 117007038 130007820 156009384 195011730 234014076 260015640 292517595 390023460 468028152 585035190 780046920 1170070380 2340140760